Answer:
The coordinates of the vertex will be (-4,-1)
Step-by-step explanation:
Let's recall that the vertex is in the middle point of the roots of a quadratic function.
The root are <u>(-3,0) and (-5,0) </u>so the x-value of the vertex will be:
The y-value of the vertex is given by the minimum value, that is -1
Therefore, the coordinates of the vertex will be (-4,-1)
I hope it hleps you!
Length of the base = 8
Length of the hypotenuse = 17
The length of the third side ''".
Using Pythagoras theorem, we have
(Perpendicular)² + (Base)² = (Hypotenuse)²
+ (8)² = (17)²
+ 64 = 289
= 289 - 64
= 225
=
=
Therefore, the length of the missing side is
.
(15)² + (8)² = (17)²
225 + 64 = 289
289 = 289
L.H.S. = R. H. S.
Hence verified.
The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
This means